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221211525313 = 2934211793321
BaseRepresentation
bin1100111000000100111…
…1000000000011000001
3210010222121111211001001
43032001033000003001
512111020122302223
6245342334412001
721660553640452
oct3160117000301
9703877454031
10221211525313
11858a7159109
1236a57361001
1317b249c519c
14a9c7257129
155b4a7559ad
hex33813c00c1

221211525313 has 8 divisors (see below), whose sum is σ = 222493873896. Its totient is φ = 219932764800.

The previous prime is 221211525287. The next prime is 221211525371. The reversal of 221211525313 is 313525112122.

It can be written as a sum of positive squares in 4 ways, for example, as 89157779649 + 132053745664 = 298593^2 + 363392^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221211525313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221211535313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773308 + ... + 1020013.

It is an arithmetic number, because the mean of its divisors is an integer number (27811734237).

Almost surely, 2221211525313 is an apocalyptic number.

It is an amenable number.

221211525313 is a deficient number, since it is larger than the sum of its proper divisors (1282348583).

221211525313 is a wasteful number, since it uses less digits than its factorization.

221211525313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794035.

The product of its digits is 3600, while the sum is 28.

Adding to 221211525313 its reverse (313525112122), we get a palindrome (534736637435).

The spelling of 221211525313 in words is "two hundred twenty-one billion, two hundred eleven million, five hundred twenty-five thousand, three hundred thirteen".

Divisors: 1 293 421 123353 1793321 525443053 754988141 221211525313